how do potential energy kinetic energy of a Spring Vary with displacement ? is this variation different from variations in potential energy and kinetic energy of a body in free fall? No links please Share with your friends Share 0 Sanjay Singh answered this Dear student Potential energy of spring with elongation x is U=12kx2 (K:spring constant)Kinetic energy of massless spring is K=0 Gravitation potential energy of mass m at a height h above earth surface (h<<R) whwer R is the radius of the earthU1=mghAnd kinetic energy is K1=12mv2 ( where v is the speed of the object)so the expression for potential and kinetic energy of spring and a free falling particle is different with the similarty that both are conservative forces.Regards 2 View Full Answer